11111545465440 has 768 divisors, whose sum is σ = 41776910106624. Its totient is φ = 2429844480000.

The previous prime is 11111545465417. The next prime is 11111545465463. The reversal of 11111545465440 is 4456454511111.

It is an interprime number because it is at equal distance from previous prime (11111545465417) and next prime (11111545465463).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11111545465392 and 11111545465401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2212130769 + ... + 2212135791.

It is an arithmetic number, because the mean of its divisors is an integer number (54397018368).

Almost surely, 2^{11111545465440} is an apocalyptic number.

11111545465440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111545465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20888455053312).

11111545465440 is an abundant number, since it is smaller than the sum of its proper divisors (30665364641184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11111545465440 is a wasteful number, since it uses less digits than its factorization.

11111545465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

Adding to 11111545465440 its reverse (4456454511111), we get a palindrome (15567999976551).

The spelling of 11111545465440 in words is "eleven trillion, one hundred eleven billion, five hundred forty-five million, four hundred sixty-five thousand, four hundred forty".